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Finding the Fourth Proportional to 166,272.12, 249,257.16 and 66,411

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Solution

The fourth proportional to 166,272.12, 249,257.16 and 66,411 is: 99,556.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,272.12 : 249,257.16 = 66,411 : x
  2. Step 2: Convert to fraction form
    166,272.12/249,257.16 = 66,411/x
  3. Step 3: Cross multiply
    166,272.12x = 249,257.16 × 66,411
  4. Step 4: Simplify right side
    166,272.12x = 16,553,417,252.76
  5. Step 5: Solve for x
    x = 16,553,417,252.76/166,272.12
  6. Step 6: Final answer
    x = 99,556.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.